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Finding the Fourth Proportional to 525.56, 725.40 and 413.46

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Solution

The fourth proportional to 525.56, 725.40 and 413.46 is: 570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.56 : 725.40 = 413.46 : x
  2. Step 2: Convert to fraction form
    525.56/725.40 = 413.46/x
  3. Step 3: Cross multiply
    525.56x = 725.40 × 413.46
  4. Step 4: Simplify right side
    525.56x = 299,923.88
  5. Step 5: Solve for x
    x = 299,923.88/525.56
  6. Step 6: Final answer
    x = 570.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.